All Courses
Get the App Signup / Login
Sign in Open App
JEE Exam  >  JEE Tests  >  WBJEE Sample Papers, Section Wise & Full Mock Tests 2025  >  WBJEE Maths Test - 13 - JEE MCQ

WBJEE Maths Test - 13 - JEE MCQ


Test Description

30 Questions MCQ Test WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 - WBJEE Maths Test - 13

WBJEE Maths Test - 13 for JEE 2024 is part of WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 preparation. The WBJEE Maths Test - 13 questions and answers have been prepared according to the JEE exam syllabus.The WBJEE Maths Test - 13 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for WBJEE Maths Test - 13 below.
Solutions of WBJEE Maths Test - 13 questions in English are available as part of our WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE & WBJEE Maths Test - 13 solutions in Hindi for WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt WBJEE Maths Test - 13 | 75 questions in 120 minutes | Mock test for JEE preparation | Free important questions MCQ to study WBJEE Sample Papers, Section Wise & Full Mock Tests 2025 for JEE Exam | Download free PDF with solutions
WBJEE Maths Test - 13 - Question 1
Save

The positive integer just greater than (1 + .0001)10000 is

WBJEE Maths Test - 13 - Question 2
Save

The inverse point of (1, 2) with respect to the circle x2 + y2 - 4x - 6y + 9 = 0 is

1 Crore+ students have signed up on EduRev. Have you? Download the App
WBJEE Maths Test - 13 - Question 3
Save

If the line lx+my=1 is a tangent line to the circle x2+y2=a2, the locus of (l,m) is

WBJEE Maths Test - 13 - Question 4
Save

[(-1+√-3)/2]3n + [(-1-√-3)/2]3n =
WBJEE Maths Test - 13 - Question 5
Save

The coefficients of three successive terms in the expansion of (1 + x)n are 165, 330 and 462 respectively, then the value of n will be
Detailed Solution for WBJEE Maths Test - 13 - Question 5

Let coefficients of three consecutive terms i.e., (r + 1)th, (r + 2)th and (r + 3)th in expansion of (1 + x)n are 165.330 and 462 respectively then
coefficient of (r + 1)th term = nCr = 165
coefficient of (r + 2)th term = nCr + 1 = 330
coefficient of (r + 3)th term = nCr + 2 = 462
∴ n C r + 1 n C r = n - r r + 1 = 2
or, n - r = 2(r + 1)
or, r = 1 3 (n - 2)
and n C r + 2 n C r + 1 = n - r - 1 r + 2 = 231 165
or, 165(n - r - 1) = 231 (r + 2)
or, 165n - 627 = 396r
or, 165n - 627 = 396 x 1 3 (n - 2)
or, 165n - 627 = 132 (n - 2)
or, 33n = 363
∴ n = 11

WBJEE Maths Test - 13 - Question 6
Save

If x is positive, then the first negative terms in the expansion of 1 + x 27 5 is
Detailed Solution for WBJEE Maths Test - 13 - Question 6

WBJEE Maths Test - 13 - Question 7
Save

If w is a cube root of unity, then the value of (1 + ω - ω)2 (1 - ω + ω2) is
WBJEE Maths Test - 13 - Question 8
Save

WBJEE Maths Test - 13 - Question 9
Save

WBJEE Maths Test - 13 - Question 10
Save

WBJEE Maths Test - 13 - Question 11
Save

If m and n are integers, then what is the value of

Detailed Solution for WBJEE Maths Test - 13 - Question 11

Since sin mx ,sin nx is an odd function if m ≠ n, then ∫ 0 π sin mx . sin nx dx = 0

 

WBJEE Maths Test - 13 - Question 12
Save

The area bounded by the parabola y2=4ax and the straight line y=2ax is
Detailed Solution for WBJEE Maths Test - 13 - Question 12

On solving y 2 = 4ax and y = 2ax, we get


x = 0 or 1 a
and y = 0 or 2

WBJEE Maths Test - 13 - Question 13
Save

WBJEE Maths Test - 13 - Question 14
Save

The order and degree of the equation are
WBJEE Maths Test - 13 - Question 15
Save

The particular integral of (D2 + 1)y = xe2x is equal to
WBJEE Maths Test - 13 - Question 16
Save

If y=log logx, ey(dy/dx)=
WBJEE Maths Test - 13 - Question 17
Save
(d/dx)(log tan x)=
WBJEE Maths Test - 13 - Question 18
Save

If the normal at the point P(θ) to the ellipse ((x2/14)+(y2/5) = 1) intersects it again at the point Q(2θ), then cosθ is equal to
WBJEE Maths Test - 13 - Question 19
Save
If the latus rectum of an ellipse is one half of its minor axis, then its eccentricity is
WBJEE Maths Test - 13 - Question 20
Save

The parametric equations of the hyperbola x2/a2 - y2/b2 = 1 are
WBJEE Maths Test - 13 - Question 21
Save

The eccentricity of the conic 9x2 - 16y2 = 144 is
WBJEE Maths Test - 13 - Question 22
Save
Let f(x) = tan-1 {φ(x)}, where φ(x)is monotonically increasing for 0 < x < π/2. Then f(x) is
Detailed Solution for WBJEE Maths Test - 13 - Question 22
f ′ x = φ ′ x 1 + { φ x } 2 > 0 for 0 < x < π 2 because φ ′ x > 0, φ x being monotonically increasing
WBJEE Maths Test - 13 - Question 23
Save

Sin (sin⁻11/2 + cos⁻11/2) equals
WBJEE Maths Test - 13 - Question 24
Save

If is finite, then the values of a,b are respectively
WBJEE Maths Test - 13 - Question 25
Save
If the value of a third order determinant is11, then the value of the square of the determinant formed by the co-factors will be
WBJEE Maths Test - 13 - Question 26
Save

Largest value of min (2 + x2, 6 - 3x) when x > 0 is :
WBJEE Maths Test - 13 - Question 27
Save
If a complex number lies in the IIIrd quadrant then its conjugate lies in quadrant number
WBJEE Maths Test - 13 - Question 28
Save

The vertex of the parabola x 2 + 8 x + 12 y + 4 = 0 is
WBJEE Maths Test - 13 - Question 29
Save

Axis of the parabola x 2 − 3 y − 6 x + 6 = 0 is
WBJEE Maths Test - 13 - Question 30
Save
Out of 15 points in a plane, no three are in a straight line except 8 points which are collinear. How many triangles can be formed by joining them?
View more questions
3 videos|10 docs|54 tests
Join Course
Information about WBJEE Maths Test - 13 Page
In this test you can find the Exam questions for WBJEE Maths Test - 13 solved & explained in the simplest way possible. Besides giving Questions and answers for WBJEE Maths Test - 13, EduRev gives you an ample number of Online tests for practice

Top Courses for JEE

Download as PDF

Top Courses for JEE

Important Questions for WBJEE Maths Test - 13

Find all the important questions for WBJEE Maths Test - 13 at EduRev.Get fully prepared for WBJEE Maths Test - 13 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the WBJEE Maths Test - 13 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of WBJEE Maths Test - 13 resources.

WBJEE Maths Test - 13 MCQs with Answers

Prepare for the WBJEE Maths Test - 13 within the JEE exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for WBJEE Maths Test - 13 WBJEE Sample Papers, Section Wise & Full Mock Tests 2025

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace WBJEE Maths Test - 13 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup